A) if \[-2<x\,\,then\,\,\left| x \right|\ge 0\]
B) if \[x\le 3\] then \[\left| x \right|\ge 0\]
C) if \[-3<x\le 4\] then \[\left| x \right|\in [0,4]\]
D) none of these
Correct Answer: D
Solution :
[d] if \[x>-2\] \[\therefore -2<x<0\]or \[0\le x<\infty \] \[\Rightarrow 0<\left| x \right|<2\]or \[\left| x \right|\ge 0\] \[\Rightarrow \left| x \right|\ge 0\] If \[x\le 3\] \[\therefore -\infty <x\le 0\] or \[0<x\le 3\] \[\Rightarrow \left| x \right|\ge 0\] or \[0<\left| x \right|\le 3\] \[\Rightarrow \left| x \right|\ge 0\] If \[-3<x\le 4\] \[\therefore -3<x<0\] or \[0\le x\le 4\] \[\Rightarrow 0<\left| x \right|<3\]or \[0\le \left| x \right|\le 4\] \[\Rightarrow \left| x \right|\in [0,4]\]
You need to login to perform this action.
You will be redirected in
3 sec
